this venn diagram shows sports played by 10 students .
let event a = the students plays basketball .
let event b = the student plays soccer .
what is p(a|b) ?

 C.

Step-by-step explanation:

Let event A = The students plays basketball .  

Let event B = The student plays soccer .

From the given picture of Venn diagram ,

Total students played basket ball or soccer = 7

The number of students plays soccer=5 [Ian, Ella , Mickey , Mai, Marcus]

∴

The number of students played basket ball and soccer = 2 = [Ian, Ella]

∴

Now, the conditional probability of A given that B will be  :-

35-60 students are taking math.

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752